Block Designs with gcd(r, λ)=1 Admitting Flag-Transitive Automorphism Groups

被引：0

作者：

Alavi, Seyed Hassan ^{[1
]}

Bayat, Mohsen ^{[1
]}

Biliotti, Mauro ^{[2
]}

Daneshkhah, Ashraf ^{[1
]}

Francot, Eliana ^{[2
]}

Guan, Haiyan ^{[3
]}

Montinaro, Alessandro ^{[2
]}

Mouseli, Fatemeh ^{[1
]}

Rizzo, Pierluigi ^{[2
]}

Tian, Delu ^{[4
]}

Wang, Yajie ^{[5
]}

Zhan, Xiaoqin ^{[6
]}

Zhang, Yongli ^{[7
]}

Zhou, Shenglin ^{[8
]}

Zhu, Yan ^{[9
]}

机构：

[1] Bu Ali Sina Univ, Fac Sci, Dept Math, Hamadan, Hamadan, Iran

[2] Univ Salento, Dipartimento Matemat & Fis E De Giorgi, Lecce, Italy

[3] China Three Gorges Univ, Dept Math, Yichang 443002, Hubei, Peoples R China

[4] Guangdong Univ Educ, Dept Math, Guangzhou 510303, Guangdong, Peoples R China

[5] North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450046, Henan, Peoples R China

[6] East China JiaoTong Univ, Sch Sci, Nanchang 330013, Jiangxi, Peoples R China

[7] Guangdong Polytech Normal Univ, Dept Math, Guangzhou 510665, Guangdong, Peoples R China

[8] South China Univ Technol, Sch Math, Guangzhou 510640, Guangdong, Peoples R China

[9] Xuzhou Med Univ, Sch Med Informat & Engn, Xuzhou 221004, Jiangsu, Peoples R China

来源：

RESULTS IN MATHEMATICS | 2022年 / 77卷 / 04期

基金：

中国国家自然科学基金;

关键词：

2-design; flag-transitive; automorphism group; FINITE LINEAR-SPACES; SYMMETRIC DESIGNS; NONSYMMETRIC; 2-DESIGNS; PERMUTATION-GROUPS; 2-(V; CLASSIFICATION;

D O I：

10.1007/s00025-022-01697-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a classification of 2-designs with gcd(r, lambda) = 1 admitting flag-transitive automorphism groups. If G is a flag-transitive automorphism group of a non-trivial 2-design D with gcd(r, lambda) = 1, then either (D, G) is one of the known examples described in this paper, or D has q = p(d) points with p prime and G is a subgroup of A Gamma L-1(q).

引用

页数：17

共 50 条

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